library("PBImisc", lib.loc="/Library/Frameworks/R.framework/Versions/3.3/Resources/library")
library("lmtest", lib.loc="/Library/Frameworks/R.framework/Versions/3.3/Resources/library")
## Loading required package: zoo
## 
## Attaching package: 'zoo'
## The following objects are masked from 'package:base':
## 
##     as.Date, as.Date.numeric
library("ggplot2", lib.loc="/Library/Frameworks/R.framework/Versions/3.3/Resources/library")

Ponizsze wykresy przedstawiaja zaleznosc pomiedzy %GC bakterii, a rozmiarem ich genomu. Wykres drugi przedstawia zlogarytmowane wartosci rozmiaru genomu w celu poprawienia uliniowienia.

## Warning: Ignoring unknown parameters: title

Ponizej, zostaly przedstawione wykresy diagnostyczne ktore okreslaja jakosc dopasowania modelu liniowego do podanych danych.

model <- lm(size~GC, data=genomes)
plot(model)

model_logGc <- lm(log(size)~GC, data=genomes)
plot(model_logGc)

model_logall <- lm(log(size)~log(GC), data=genomes)
plot(model_logall)

Dla modelu zawierajacego wedlug mnie najbardziej linowa zaleznosc zostaly wyznaczone reszty i miary wplywu. W celu sprawdzenia modelu, zostaly przeprowadzone testy statystyczne.

cooks.distance(model)
##            1            2            3            4            5 
## 7.377215e-03 3.328493e-04 1.649623e-03 1.430147e-03 7.862259e-03 
##            6            7            8            9           10 
## 1.445551e-07 3.709074e-04 7.616590e-04 6.707792e-04 7.043162e-04 
##           11           12           13           14           15 
## 6.147226e-04 1.935425e-04 1.965776e-04 1.827458e-04 2.359125e-04 
##           16           17           18           19           20 
## 1.739310e-04 3.286096e-04 3.214547e-06 1.529571e-04 2.994900e-03 
##           21           22           23           24           25 
## 6.479050e-04 1.042201e-03 4.521112e-04 1.391541e-03 2.831770e-03 
##           26           27           28           29           30 
## 1.693891e-04 3.903304e-04 1.498601e-03 1.168910e-03 2.039316e-03 
##           31           32           33           34           35 
## 9.059041e-04 2.007959e-05 8.594663e-04 6.549073e-04 3.644175e-04 
##           36           37           38           39           40 
## 8.611666e-05 1.002676e-04 1.051124e-06 1.064421e-03 9.113844e-04 
##           41           42           43           44           45 
## 6.449587e-05 4.508744e-03 5.580932e-03 4.508744e-03 5.114730e-03 
##           46           47           48           49           50 
## 5.220600e-03 7.024232e-03 1.453843e-03 3.291362e-04 3.415663e-04 
##           51           52           53           54           55 
## 1.916356e-04 1.968337e-04 3.569059e-04 4.673350e-03 4.942856e-03 
##           56           57           58           59           60 
## 6.911278e-03 1.536789e-03 1.620003e-03 3.628431e-03 1.672188e-03 
##           61           62           63           64           65 
## 8.245200e-04 2.933148e-04 6.441488e-04 9.794867e-06 2.118711e-08 
##           66           67           68           69           70 
## 2.726374e-06 3.307914e-03 2.957211e-03 3.315240e-03 7.604209e-04 
##           71           72           73           74           75 
## 2.983380e-06 3.591639e-04 1.547981e-03 2.725878e-05 3.205595e-04 
##           76           77           78           79           80 
## 9.744536e-05 6.044853e-05 7.213498e-04 9.966014e-04 2.968963e-04 
##           81           82           83           84           85 
## 9.289984e-04 1.326972e-02 1.000496e-02 4.946909e-03 5.673903e-04 
##           86           87           88           89           90 
## 5.571285e-04 5.673903e-04 5.777459e-04 5.571285e-04 5.497493e-04 
##           91           92           93           94           95 
## 5.571285e-04 1.173227e-03 1.125343e-03 8.303882e-04 1.078672e-03 
##           96           97           98           99          100 
## 5.056806e-03 5.374727e-03 6.813396e-03 2.117487e-04 1.839519e-04 
##          101          102          103          104          105 
## 2.842109e-04 3.480476e-05 2.962855e-03 1.025618e-02 7.863393e-03 
##          106          107          108          109          110 
## 3.202661e-03 4.052361e-03 2.842949e-03 4.003143e-03 2.029843e-03 
##          111          112          113          114          115 
## 1.714414e-02 1.751867e-04 3.833819e-04 1.926995e-04 5.318496e-04 
##          116          117          118          119          120 
## 1.601777e-04 1.511187e-04 4.045978e-05 4.988178e-05 1.608223e-04 
##          121          122          123          124          125 
## 1.069400e-04 1.608223e-04 1.179143e-03 1.064737e-03 3.988050e-04 
##          126          127          128          129          130 
## 8.281701e-04 6.301661e-04 2.024182e-08 1.007900e-03 1.563874e-04 
##          131          132          133          134          135 
## 1.607576e-03 3.929611e-04 1.523199e-04 1.365040e-03 1.528710e-03 
##          136          137          138          139          140 
## 1.513362e-03 1.467781e-03 1.528710e-03 1.259014e-03 1.169945e-03 
##          141          142          143          144          145 
## 1.131624e-03 1.162859e-03 1.204381e-03 1.204381e-03 1.162859e-03 
##          146          147          148          149          150 
## 1.642102e-03 1.412834e-04 3.793535e-04 2.861816e-04 8.195143e-05 
##          151          152          153          154          155 
## 1.460296e-03 2.114737e-03 4.105697e-04 6.065990e-08 5.700688e-05 
##          156          157          158          159          160 
## 1.278697e-03 1.434675e-04 7.781429e-03 7.412621e-03 3.529840e-03 
##          161          162          163          164          165 
## 1.445157e-02 4.331350e-03 4.415469e-03 3.922889e-03 6.105345e-03 
##          166          167          168          169          170 
## 4.602810e-03 5.440986e-03 4.027720e-03 4.775092e-03 5.461534e-03 
##          171          172          173          174          175 
## 2.744867e-03 2.101653e-03 1.156871e-03 1.409036e-03 3.264229e-03 
##          176          177          178          179          180 
## 9.912032e-04 4.658602e-04 3.469539e-03 1.173835e-03 9.110328e-04 
##          181          182          183          184          185 
## 2.271812e-03 2.337581e-04 2.239615e-04 3.346730e-03 5.538217e-03 
##          186          187          188          189          190 
## 4.363814e-04 3.325279e-04 2.528018e-04 4.098864e-04 4.129408e-04 
##          191          192          193          194          195 
## 1.415987e-03 3.677411e-03 1.221695e-03 1.492811e-03 1.359180e-03 
##          196          197          198          199          200 
## 3.626883e-03 3.723656e-03 2.376564e-03 1.507213e-03 7.066230e-05 
##          201          202          203          204          205 
## 1.070579e-05 1.005817e-04 2.492532e-04 1.098752e-03 9.478896e-04 
##          206          207          208          209          210 
## 1.146746e-03 6.714139e-05 4.214129e-04 7.666412e-05 6.567306e-05 
##          211          212          213          214          215 
## 6.814771e-04 2.056142e-05 2.609634e-04 2.230505e-07 3.908273e-04 
##          216          217          218          219          220 
## 9.580924e-04 2.446810e-04 6.328941e-04 6.914704e-04 1.951912e-04 
##          221          222          223          224          225 
## 1.048837e-03 1.209919e-03 1.045968e-03 5.942100e-04 6.788834e-04 
##          226          227          228          229          230 
## 2.488680e-04 1.951912e-04 2.212155e-04 6.358762e-04 9.103805e-05 
##          231          232          233          234          235 
## 1.714584e-04 2.591816e-05 9.163126e-03 3.506867e-04 7.082737e-05 
##          236          237          238          239          240 
## 3.503209e-05 6.060461e-05 6.060461e-05 6.060461e-05 6.395156e-05 
##          241          242          243          244          245 
## 6.395156e-05 6.395156e-05 6.395156e-05 4.338946e-03 2.039751e-05 
##          246          247          248          249          250 
## 1.484002e-02 1.986311e-04 3.981907e-05 1.049017e-06 2.457891e-06 
##          251          252          253          254          255 
## 1.426505e-05 1.894985e-04 5.095056e-04 3.632790e-04 1.608542e-05 
##          256          257          258          259          260 
## 7.426546e-04 1.964272e-03 8.121844e-04 1.862683e-03 4.908529e-04 
##          261          262          263          264          265 
## 3.162124e-04 3.891479e-04 3.071019e-04 3.939540e-04 1.947292e-04 
##          266          267          268          269          270 
## 5.955616e-05 3.662814e-03 1.301397e-04 5.472891e-03 6.046009e-03 
##          271          272          273          274          275 
## 4.705245e-05 7.333476e-03 5.925144e-04 2.865680e-04 5.550344e-04 
##          276          277          278          279          280 
## 5.155821e-04 6.268187e-04 6.423884e-04 5.107051e-04 6.275753e-04 
##          281          282          283          284          285 
## 7.480856e-04 2.079583e-04 2.757805e-03 4.085996e-04 2.109365e-03 
##          286          287          288          289          290 
## 8.020460e-04 1.315356e-04 4.086399e-03 1.336773e-04 2.574800e-07 
##          291          292          293          294          295 
## 1.283987e-03 1.052692e-03 7.953562e-04 1.117276e-02 1.017925e-04 
##          296          297          298          299          300 
## 3.547881e-04 8.613740e-05 3.388509e-05 1.103537e-03 1.056798e-03 
##          301          302          303          304          305 
## 1.067179e-03 1.847019e-04 1.382080e-04 9.814497e-05 2.082804e-06 
##          306          307          308          309          310 
## 2.730463e-04 2.730463e-04 4.574994e-04 1.686590e-05 3.169243e-08 
##          311          312          313          314          315 
## 1.964610e-06 1.950846e-06 1.781099e-04 3.460912e-04 2.172291e-04 
##          316          317          318          319          320 
## 3.998074e-04 2.180612e-04 7.696638e-03 6.273358e-04 6.273358e-04 
##          321          322          323          324          325 
## 4.238748e-04 4.408262e-04 2.943445e-03 3.106245e-03 3.063654e-04 
##          326          327          328          329          330 
## 3.480444e-04 1.963304e-04 1.014825e-04 2.896364e-05 2.228817e-05 
##          331          332          333          334          335 
## 3.298912e-05 2.428554e-03 6.628415e-06 2.272354e-04 1.611291e-03 
##          336          337          338          339          340 
## 6.816373e-05 1.435363e-03 9.607365e-04 5.255143e-03 4.680745e-04 
##          341          342          343          344          345 
## 2.602045e-05 9.549275e-05 5.259922e-05 1.346016e-04 1.399490e-04 
##          346          347          348          349          350 
## 2.390838e-04 1.601777e-04 2.559624e-04 1.316960e-04 1.216373e-03 
##          351          352          353          354          355 
## 3.661580e-03 5.904766e-03 1.721946e-03 2.491197e-03 1.848664e-03 
##          356          357          358          359          360 
## 4.589456e-04 5.851968e-08 1.529806e-05 1.149476e-03 3.577578e-04 
##          361          362          363          364          365 
## 7.365474e-04 6.673888e-04 2.026218e-05 1.687240e-04 2.211622e-03 
##          366          367          368          369          370 
## 6.016098e-03 2.084422e-03 2.712232e-03 1.179446e-03 1.136868e-05 
##          371          372          373          374          375 
## 5.106922e-06 4.986520e-04 5.402225e-04 4.733841e-04 4.234324e-04 
##          376          377          378          379          380 
## 6.740453e-04 1.943842e-03 2.934594e-03 4.151008e-04 7.830334e-04 
##          381          382          383          384          385 
## 3.149441e-04 4.733841e-04 4.733841e-04 4.733841e-04 4.733841e-04 
##          386          387          388          389          390 
## 1.988122e-04 1.423656e-03 1.064301e-03 1.278153e-03 2.544904e-04 
##          391          392          393          394          395 
## 9.996922e-04 1.903126e-03 9.356908e-04 8.688953e-04 9.063875e-04 
##          396          397          398          399          400 
## 7.432736e-04 9.073835e-05 7.498595e-05 1.773259e-03 6.013464e-04 
##          401          402          403          404          405 
## 1.105727e-03 1.509199e-02 2.122287e-03 2.581352e-04 3.420574e-03 
##          406          407          408          409          410 
## 1.197807e-03 1.084529e-03 9.790263e-04 9.649533e-04 8.417362e-04 
##          411          412          413          414          415 
## 9.933411e-04 3.843537e-04 3.475373e-05 1.346953e-03 3.290672e-04 
##          416          417          418          419          420 
## 3.739070e-04 2.843388e-04 6.312352e-04 1.478651e-04 6.905070e-03 
##          421          422          423          424          425 
## 7.462431e-04 3.716627e-04 3.843339e-04 9.176748e-04 8.988744e-04 
##          426          427          428          429          430 
## 6.899652e-04 9.596391e-07 7.059663e-04 1.301872e-07 6.099556e-04 
##          431          432          433          434          435 
## 1.719064e-04 4.852059e-04 3.601442e-04 1.034590e-04 3.914030e-05 
##          436          437          438          439          440 
## 1.962088e-03 1.069245e-04 3.723339e-04 1.493179e-05 1.985865e-03 
##          441          442          443          444          445 
## 4.261724e-03 2.350793e-03 5.854766e-04 2.077018e-04 7.930214e-04 
##          446          447          448          449          450 
## 9.952669e-04 3.922446e-04 4.573065e-04 4.963819e-04 1.316960e-04 
##          451          452          453          454          455 
## 4.808961e-04 1.222510e-04 2.049374e-04 3.542608e-04 1.206077e-04 
##          456          457          458          459          460 
## 6.424410e-04 1.084627e-04 1.714584e-04 2.470747e-04 3.538437e-04 
##          461          462          463          464          465 
## 1.084627e-04 2.493694e-03 4.547561e-04 8.466446e-04 1.201563e-03 
##          466          467          468          469          470 
## 3.845776e-04 1.825570e-03 1.105601e-03 1.682029e-03 1.770674e-03 
##          471          472          473          474          475 
## 3.501604e-03 9.527006e-04 1.118929e-03 1.287159e-03 6.931959e-04 
##          476          477          478          479          480 
## 1.136716e-04 1.305323e-03 1.259703e-03 2.138134e-03 7.840008e-05 
##          481          482          483          484          485 
## 4.131137e-07 2.487672e-05 1.235726e-03 9.375166e-04 1.795466e-03 
##          486          487          488          489          490 
## 2.676406e-03 1.162396e-03 7.541982e-04 4.344617e-04 6.708887e-04 
##          491          492          493          494          495 
## 4.725859e-03 4.027475e-03 2.907342e-03 7.988078e-05 2.890532e-04 
##          496          497          498          499          500 
## 5.424366e-04 2.028369e-03 1.816139e-03 2.861690e-03 5.196668e-03 
##          501          502          503          504          505 
## 7.185824e-04 7.186236e-04 1.152988e-03 1.903211e-02 7.557019e-05 
##          506          507          508          509          510 
## 3.398185e-03 1.887484e-04 1.564939e-04 2.454850e-05 1.287665e-04 
##          511          512          513          514          515 
## 2.392336e-05 3.319356e-04 1.689938e-03 4.319049e-04 7.366456e-04 
##          516          517          518          519          520 
## 6.432255e-04 6.029310e-04 4.715734e-04 5.975772e-04 6.029310e-04 
##          521          522          523          524          525 
## 6.101601e-04 5.885381e-04 6.095250e-04 7.558590e-04 3.082191e-05 
##          526          527          528          529          530 
## 6.788553e-03 9.341258e-04 8.637850e-03 2.304048e-03 1.215948e-04 
##          531          532          533          534          535 
## 8.913071e-05 1.730711e-04 2.813658e-04 3.772995e-04 3.023517e-04 
##          536          537          538          539          540 
## 1.939020e-04 1.939020e-04 3.772995e-04 3.655369e-04 1.456805e-04 
##          541          542          543          544          545 
## 1.456805e-04 3.153619e-04 2.548949e-04 4.947934e-04 2.530512e-04 
##          546          547          548          549          550 
## 3.726647e-04 6.322804e-04 1.905871e-05 1.136438e-03 1.076815e-03 
##          551          552          553          554          555 
## 1.361915e-03 4.872721e-04 1.282505e-03 1.214167e-03 9.985292e-05 
##          556          557          558          559          560 
## 9.884300e-04 1.198813e-03 1.736020e-03 6.752435e-04 1.376169e-03 
##          561          562          563          564          565 
## 9.062177e-04 4.028312e-04 4.689295e-04 6.645286e-04 2.486571e-03 
##          566          567          568          569          570 
## 3.387892e-04 1.990052e-04 1.827271e-04 1.914019e-04 3.265607e-04 
##          571          572          573          574          575 
## 1.914019e-04 4.722055e-04 1.262978e-04 2.730908e-03 2.646533e-03 
##          576          577          578          579          580 
## 7.381068e-06 1.802252e-02 7.208244e-02 3.680791e-04 1.546727e-04 
##          581          582          583          584          585 
## 2.368094e-04 3.349692e-04 3.349692e-04 3.169744e-04 2.451405e-04 
##          586          587          588          589          590 
## 3.062558e-04 3.462885e-04 2.286223e-04 2.451405e-04 2.198351e-04 
##          591          592          593          594          595 
## 3.062558e-04 3.681363e-04 3.578720e-04 1.188217e-04 1.643704e-04 
##          596          597          598          599          600 
## 1.546727e-04 5.799206e-05 4.595642e-04 1.100481e-04 3.279416e-04 
##          601          602          603          604          605 
## 4.680189e-05 7.274100e-05 4.680189e-05 3.995865e-04 2.090198e-04 
##          606          607          608          609          610 
## 1.662043e-04 1.718755e-04 3.073701e-04 2.349669e-04 1.755233e-04 
##          611          612          613          614          615 
## 2.789831e-04 1.791861e-04 3.298651e-04 3.253160e-04 3.389580e-04 
##          616          617          618          619          620 
## 2.903116e-04 3.713203e-04 3.344124e-04 3.786839e-04 3.253160e-04 
##          621          622          623          624          625 
## 3.298651e-04 3.786839e-04 4.178687e-04 3.344124e-04 4.178687e-04 
##          626          627          628          629          630 
## 2.061153e-04 2.962600e-04 2.962600e-04 4.416097e-04 3.491696e-04 
##          631          632          633          634          635 
## 4.416097e-04 1.552133e-02 1.581589e-02 1.079609e-02 6.581331e-05 
##          636          637          638          639          640 
## 1.422991e-04 1.546727e-04 1.024456e-04 2.202853e-05 1.284471e-04 
##          641          642          643          644          645 
## 3.592704e-03 9.871395e-04 9.071467e-04 6.396311e-04 2.299910e-03 
##          646          647          648          649          650 
## 1.420182e-03 1.091980e-03 1.746246e-03 2.534291e-05 3.863960e-03 
##          651          652          653          654          655 
## 2.983607e-03 2.562052e-03 5.327068e-05 7.880594e-05 1.578815e-04 
##          656          657          658          659          660 
## 1.128550e-07 8.126129e-06 4.396677e-07 2.926275e-03 1.156767e-03 
##          661          662          663          664          665 
## 1.419903e-03 8.048359e-05 3.249214e-03 1.025869e-03 6.982043e-04 
##          666          667          668          669          670 
## 4.587237e-03 3.629493e-05 8.570107e-04 1.992761e-04 7.654263e-04 
##          671          672          673          674          675 
## 8.180644e-04 7.266676e-04 1.287743e-02 1.350597e-02 4.702310e-03 
##          676          677          678          679          680 
## 1.949939e-04 6.259637e-06 2.983838e-03 2.902158e-03 1.960702e-03 
##          681          682          683          684          685 
## 1.960702e-03 3.625499e-04 8.643150e-04 8.643150e-04 6.693059e-04 
##          686          687          688          689          690 
## 2.433100e-04 7.614669e-05 9.917599e-05 1.107808e-03 1.492064e-03 
##          691          692          693          694          695 
## 2.408578e-03 1.063076e-03 8.357376e-04 1.007175e-03 5.830464e-04 
##          696          697          698          699          700 
## 8.323024e-04 1.060437e-03 5.012769e-04 7.201121e-04 1.136710e-04 
##          701          702          703          704          705 
## 3.888938e-05 4.201648e-06 5.832664e-08 1.157705e-04 3.204196e-06 
##          706          707          708          709          710 
## 3.204196e-06 4.531746e-05 5.520933e-04 6.874535e-04 6.275344e-04 
##          711          712          713          714          715 
## 6.570628e-04 4.193815e-04 4.004822e-04 5.463836e-04 4.902988e-04 
##          716          717          718          719          720 
## 5.537973e-04 4.083003e-04 3.526791e-04 4.154449e-04 6.104942e-04 
##          721          722          723          724 
## 4.894961e-04 4.733046e-04 4.211959e-04 5.882041e-04
rstandard(model)
##            1            2            3            4            5 
##  3.259378039 -0.440246789 -0.867957183 -1.098803938 -1.908448939 
##            6            7            8            9           10 
##  0.007734757 -0.426634888  0.875988627  0.813397720  0.833483468 
##           11           12           13           14           15 
##  0.789730843  0.440025668  0.463569715 -0.459898522 -0.520933489 
##           16           17           18           19           20 
## -0.447296369 -0.672576134 -0.047182407  0.368889958 -1.748297196 
##           21           22           23           24           25 
##  0.736797616 -1.049205529 -0.716348090  1.175716856  1.547061145 
##           26           27           28           29           30 
##  0.371290335  0.733022883 -0.640082616 -0.567014568 -1.698373161 
##           31           32           33           34           35 
## -1.033236007 -0.154733587 -1.053301750 -0.971514736  0.385879703 
##           36           37           38           39           40 
## -0.216411540  0.254620853 -0.023299424 -0.654960067 -0.627148153 
##           41           42           43           44           45 
##  0.303796615  1.851056995  2.043750386  1.851056995  1.979069640 
##           46           47           48           49           50 
##  1.984237978  2.284095884  1.071345759  0.672000681  0.670092820 
##           51           52           53           54           55 
##  0.522320728  0.477296218  0.681916811  1.884543330  1.938121467 
##           56           57           58           59           60 
##  2.300535253  1.401710875  1.442651541  2.143160585  1.428177924 
##           61           62           63           64           65 
## -0.879339769 -0.524472973 -0.794251959 -0.097940987 -0.005416383 
##           66           67           68           69           70 
##  0.051459692 -1.652296344 -1.503969546 -1.598498963 -0.722916358 
##           71           72           73           74           75 
## -0.035631305 -0.390952333 -0.823106466  0.118216668 -0.372139064 
##           76           77           78           79           80 
## -0.208090859 -0.162741609 -0.564170715 -0.704825028 -0.354399897 
##           81           82           83           84           85 
## -0.663474838  2.747096233  2.323992503  1.592547752 -0.737034901 
##           86           87           88           89           90 
## -0.730339447 -0.737034901 -0.743730355 -0.730339447 -0.722865356 
##           91           92           93           94           95 
## -0.730339447 -0.678262676 -0.640087338 -0.466805390 -0.626673703 
##           96           97           98           99          100 
##  1.536030207  1.606523789  1.795814495  0.296033122  0.275919283 
##          101          102          103          104          105 
##  0.342965414 -0.120436074  1.179979286  2.584991296  2.263452273 
##          106          107          108          109          110 
##  1.159319375  1.317804478  1.092275469  1.305202762  0.945879706 
##          111          112          113          114          115 
##  3.304225531  0.363483030 -0.700111272 -0.442160361 -0.849746722 
##          116          117          118          119          120 
## -0.322007306 -0.294424820 -0.144634611 -0.162377543 -0.290487523 
##          121          122          123          124          125 
## -0.236877868 -0.290487523 -0.703818326 -1.106177017 -0.444243204 
##          126          127          128          129          130 
## -0.589843971 -0.422893742  0.003818549 -0.757527747 -0.434312837 
##          131          132          133          134          135 
## -0.853779274  0.420621464  0.447332885 -1.217563018 -1.330150781 
##          136          137          138          139          140 
## -1.323456533 -1.303373788 -1.330150781 -1.153781558 -1.085677781 
##          141          142          143          144          145 
## -1.071496085 -1.134855189 -1.154938713 -1.154938713 -1.134855189 
##          146          147          148          149          150 
## -1.316997566 -0.436326306 -0.716125032 -0.641202189 -0.343929610 
##          151          152          153          154          155 
## -1.352140344 -1.458863223  0.638284687 -0.009152713 -0.175424645 
##          156          157          158          159          160 
## -0.859170299  0.414618342 -1.571114828 -1.538322369  1.381175756 
##          161          162          163          164          165 
##  2.693771966  1.387343652  1.400750665  1.320308589  1.641317920 
##          166          167          168          169          170 
##  1.395412873  1.554931311  1.300789450  1.461844165  1.608697138 
##          171          172          173          174          175 
##  1.269008377  0.973265672  0.716993017  0.799752520  1.569003239 
##          176          177          178          179          180 
##  0.673166447  0.680271951  1.790664433 -1.269069302 -1.053715954 
##          181          182          183          184          185 
## -1.180230573 -0.529242886 -0.513510513 -1.528235192 -1.768092142 
##          186          187          188          189          190 
## -0.737514120 -0.643800423 -0.558353204 -0.716645698 -0.717432613 
##          191          192          193          194          195 
##  0.807020687  1.836764854  1.093822022 -1.464456648 -1.399029775 
##          196          197          198          199          200 
## -1.314951255 -1.327591328  1.064431436  1.475448721 -0.269479561 
##          201          202          203          204          205 
##  0.123865437  0.351233879 -0.477925271 -0.817690040 -0.756619770 
##          206          207          208          209          210 
## -1.245444375 -0.211678774 -0.464814260 -0.180089047 -0.166680520 
##          211          212          213          214          215 
## -0.851726366  0.142839246  0.480320653  0.016533222  0.736754485 
##          216          217          218          219          220 
##  1.156859010  0.579256385  0.937553057  0.978498760  0.518231141 
##          221          222          223          224          225 
##  1.210405075  1.298203905  1.205284485  0.905658361  0.971019485 
##          226          227          228          229          230 
##  0.585164451  0.518231141  0.551697796  0.938338958 -0.362802247 
##          231          232          233          234          235 
## -0.355495659 -0.123776788  2.510931730  0.462219126 -0.207725010 
##          236          237          238          239          240 
## -0.146643652 -0.189987538 -0.189987538 -0.189987538 -0.195900161 
##          241          242          243          244          245 
## -0.195900161 -0.195900161 -0.195900161  1.162088383 -0.087000222 
##          246          247          248          249          250 
##  2.262656423  0.286868202 -0.228716772 -0.038820877 -0.043193797 
##          251          252          253          254          255 
## -0.127244242 -0.390999163 -0.607793891  0.652058848 -0.103549193 
##          256          257          258          259          260 
## -0.599337130 -1.197962455  0.822298364 -1.244578430 -0.678471772 
##          261          262          263          264          265 
## -0.544559773 -0.599702236 -0.532745187 -0.605609026 -0.411827086 
##          266          267          268          269          270 
## -0.229458845  2.088925202 -0.304835545 -1.662861629 -1.735060867 
##          271          272          273          274          275 
## -0.260838117 -1.772767641 -0.745427771 -0.475646986 -0.739900128 
##          276          277          278          279          280 
## -0.713119131 -0.791882675 -0.804483278 -0.707213088 -0.786766873 
##          281          282          283          284          285 
## -0.852413139 -0.491865178  1.944699226 -0.544606842 -1.594373405 
##          286          287          288          289          290 
## -0.733984126 -0.435221262 -2.027947937 -0.296243504 -0.017359546 
##          291          292          293          294          295 
## -0.605216790  1.014799172  0.875778862 -1.963277269 -0.270789209 
##          296          297          298          299          300 
## -0.710007029 -0.351347299 -0.219836816 -1.250710774 -1.223938020 
##          301          302          303          304          305 
## -1.196490190 -0.373223764 -0.345652788 -0.264878654  0.053078058 
##          306          307          308          309          310 
## -0.518956900 -0.518956900 -0.727668448 -0.103304216  0.004964097 
##          311          312          313          314          315 
##  0.039233356 -0.038357040 -0.336981856  0.575944597  0.454645888 
##          316          317          318          319          320 
##  0.614558397  0.453865240 -1.835370641  0.786616722  0.786616722 
##          321          322          323          324          325 
##  0.676236694  0.689626031  1.472932736  1.513117975 -0.351197269 
##          326          327          328          329          330 
## -0.585909393 -0.421280792  0.299527762  0.163608129  0.143521014 
##          331          332          333          334          335 
##  0.164475834  1.448929973 -0.059158409 -0.530791400 -1.009136215 
##          336          337          338          339          340 
##  0.258229682  1.337574898 -0.626548222  1.836345648 -0.816312910 
##          341          342          343          344          345 
## -0.119025224 -0.230574388 -0.242914823 -0.260923922 -0.297576200 
##          346          347          348          349          350 
## -0.394904948 -0.322007306 -0.403971397 -0.270777235 -1.308604272 
##          351          352          353          354          355 
## -1.556356600 -2.045509464 -1.448659441  1.766756913  1.364731452 
##          356          357          358          359          360 
##  0.733237986 -0.004992971  0.145577021 -1.279047603 -0.708023900 
##          361          362          363          364          365 
## -0.546420116 -0.842445374  0.092534580  0.256206776  0.879239018 
##          366          367          368          369          370 
##  1.426615490 -1.109383337  1.823896867 -1.116153538  0.080407775 
##          371          372          373          374          375 
##  0.045187556 -0.441957567 -0.524350473 -0.490842470  0.430492215 
##          376          377          378          379          380 
## -0.785930527  0.991010333  1.145382104  0.415924056  0.575242756 
##          381          382          383          384          385 
##  0.362288043 -0.490842470 -0.490842470 -0.490842470 -0.490842470 
##          386          387          388          389          390 
##  0.319261816  0.786587955 -0.725726110 -0.824991559 -0.289782615 
##          391          392          393          394          395 
## -0.751622078 -1.044838423 -0.654044524 -0.628026962 -0.641433342 
##          396          397          398          399          400 
## -0.515042454 -0.174156460 -0.167456255 -1.373917012 -0.488921042 
##          401          402          403          404          405 
## -0.708465243  2.464929910 -1.099238402  0.458347240 -1.448205425 
##          406          407          408          409          410 
## -1.233988574 -1.182777016 -1.141381690 -1.135468598 -1.062621075 
##          411          412          413          414          415 
## -1.147294911 -0.633163860  0.154547404 -0.947559936 -0.673964076 
##          416          417          418          419          420 
## -0.509159832 -0.582014162  0.474401220 -0.224386358  2.826977317 
##          421          422          423          424          425 
##  0.761732803  0.620164143 -0.593795401 -0.770296762 -0.620979860 
##          426          427          428          429          430 
##  0.599138416 -0.022439249  0.988932575  0.007793736 -0.630398930 
##          431          432          433          434          435 
## -0.433504967  0.814309439 -0.564260496 -0.338335575 -0.184528998 
##          436          437          438          439          440 
## -1.365633817 -0.393132459 -0.682759165 -0.101360571 -0.830423709 
##          441          442          443          444          445 
##  2.247667724  1.720677129 -0.682461252  0.376376514  0.727064555 
##          446          447          448          449          450 
## -1.182458140 -0.733601720 -0.812446886 -0.846695896 -0.270777235 
##          451          452          453          454          455 
## -0.666659286 -0.258952633 -0.337781980 -0.706214391 -0.258164439 
##          456          457          458          459          460 
## -0.941696692 -0.241214687 -0.355495659 -0.428379828 -0.538669582 
##          461          462          463          464          465 
## -0.241214687 -1.391658126 -0.799137053  0.913826460  1.279533795 
##          466          467          468          469          470 
##  0.641983307  0.936285204  0.723400479  0.901974886  1.150513488 
##          471          472          473          474          475 
##  1.454227489  0.799954472  0.866938690  0.944139751  0.695517163 
##          476          477          478          479          480 
## -0.256166004  1.089677001  1.019635435  1.374083464 -0.314232037 
##          481          482          483          484          485 
##  0.022447837 -0.184747449  1.150781259 -1.123642793 -1.409457814 
##          486          487          488          489          490 
## -1.600748479 -1.284958694 -1.015508591 -0.698136138 -0.896988044 
##          491          492          493          494          495 
##  1.511882893  1.496568066  1.315139369  0.217175081  0.364622841 
##          496          497          498          499          500 
## -0.744043889  1.208077295  1.130093652  1.424004825  2.405617207 
##          501          502          503          504          505 
## -0.539715165 -0.551076321 -0.678971773  2.958682934  0.245979340 
##          506          507          508          509          510 
##  1.920101984  0.323982642  0.288511446 -0.115116993  0.261707307 
##          511          512          513          514          515 
##  0.108745611  0.421741555 -0.781388391 -0.472293879 -0.664872730 
##          516          517          518          519          520 
## -0.593985352 -0.603784119 -0.535997637 -0.530216377 -0.603784119 
##          521          522          523          524          525 
## -0.609691492 -0.524306651  0.669882216  0.754574130 -0.161309398 
##          526          527          528          529          530 
## -1.566102543  1.148349971  1.731919578 -1.063333182  0.216762014 
##          531          532          533          534          535 
## -0.185583495  0.482781922  0.607978348  0.702474469  0.628845049 
##          536          537          538          539          540 
##  0.502452594  0.502452594  0.702474469  0.689873585  0.435516526 
##          541          542          543          544          545 
##  0.435516526  0.642232216  0.576082269  0.807998617  0.575296380 
##          546          547          548          549          550 
##  0.696567192  0.839110019  0.151981016  1.271955566  1.239271981 
##          551          552          553          554          555 
##  1.392432593  0.821600124  1.229384949  1.286227174  0.346892233 
##          556          557          558          559          560 
##  1.182597963  1.280314375  1.496979320  0.957470290  1.398343821 
##          561          562          563          564          565 
##  1.144711972  0.763205519  0.823443380  0.951558243  1.807997605 
##          566          567          568          569          570 
##  0.680442159  0.520586634  0.499721332  0.512322912  0.671392322 
##          571          572          573          574          575 
##  0.512322912  0.806044377 -0.268003782  1.396413841  1.318131597 
##          576          577          578          579          580 
##  0.092100732  3.479323203  4.954255678  0.398556534  0.310474305 
##          581          582          583          584          585 
##  0.384165453  0.458635610  0.458635610  0.444458211  0.390864649 
##          586          587          588          589          590 
##  0.438538267  0.464555797  0.377466258  0.390864649  0.371547123 
##          591          592          593          594          595 
##  0.438538267  0.477175442  0.470476165  0.264029025  0.311708721 
##          596          597          598          599          600 
##  0.310474305  0.193017753 -0.597772041 -0.230711412 -0.398268557 
##          601          602          603          604          605 
## -0.190037048 -0.236916985 -0.190037048 -0.690259881 -0.479580214 
##          606          607          608          609          610 
## -0.374800064 -0.420501333 -0.566215049 -0.493358654 -0.426409402 
##          611          612          613          614          615 
## -0.539435524 -0.432317427 -0.562281297 -0.556374168 -0.574095427 
##          616          617          618          619          620 
## -0.523684801 -0.600876814 -0.568188383 -0.602453976 -0.556374168 
##          621          622          623          624          625 
## -0.562281297 -0.602453976 -0.635142347 -0.568188383 -0.635142347 
##          626          627          628          629          630 
## -0.517023893 -0.581969151 -0.581969151 -0.664674749 -0.591028054 
##          631          632          633          634          635 
## -0.664674749  2.352418665  2.275998278  1.868402348 -0.234962392 
##          636          637          638          639          640 
##  0.333901487  0.310474305 -0.245160514 -0.125010132 -0.412693042 
##          641          642          643          644          645 
## -1.210975050 -1.031453787 -0.992063685 -0.908337168 -1.377736938 
##          646          647          648          649          650 
## -1.289254493 -0.974675336 -1.155714606 -0.190411807 -1.680191100 
##          651          652          653          654          655 
## -1.510666756 -1.443160793  0.277383670  0.248339298 -0.460210059 
##          656          657          658          659          660 
##  0.008947730  0.075926660  0.019862404 -1.139715890 -1.232750915 
##          661          662          663          664          665 
## -1.385466775 -0.235324279 -1.738270066 -1.206087733 -0.859210604 
##          666          667          668          669          670 
## -1.894704813 -0.142681622 -1.010435514 -0.440188490 -1.043880628 
##          671          672          673          674          675 
## -1.078131781 -1.017107956 -2.238291854 -2.284485897 -1.519075118 
##          676          677          678          679          680 
## -0.499300239  0.075780427 -1.942747809 -1.915972780 -1.672252452 
##          681          682          683          684          685 
## -1.672252452 -0.643490567 -0.564720988 -0.564720988 -0.501978585 
##          686          687          688          689          690 
##  0.357101260  0.331712208  0.378563899  1.022986839  1.182905008 
##          691          692          693          694          695 
##  1.834628226  1.218848659  1.095153110  1.202243201 -0.420862243 
##          696          697          698          699          700 
## -0.789250840 -0.857461630 -0.589537170 -1.019149770  0.226225447 
##          701          702          703          704          705 
##  0.145429442  0.047274201 -0.005549388  0.251853439 -0.043332661 
##          706          707          708          709          710 
## -0.043332661  0.163576761 -0.839839113 -0.952402097 -0.913802819 
##          711          712          713          714          715 
## -0.933102359  0.777799241  0.760854183  0.888806727  0.841955054 
##          716          717          718          719          720 
##  0.894716127  0.768330997  0.714002503  0.775024093  0.938433801 
##          721          722          723          724 
##  0.841171349  0.827001514  0.780149823 -0.915925416
rstudent(model)
##            1            2            3            4            5 
##  3.281350513 -0.440000866 -0.867808760 -1.098961988 -1.911955431 
##            6            7            8            9           10 
##  0.007729399 -0.426393083  0.875847335  0.813206912  0.833307056 
##           11           12           13           14           15 
##  0.789524824  0.439779808  0.463317528 -0.459647253 -0.520670466 
##           16           17           18           19           20 
## -0.447048445 -0.672320849 -0.047149794  0.368669150 -1.750795919 
##           21           22           23           24           25 
##  0.736564154 -1.049278903 -0.716106360  1.176028692  1.548558233 
##           26           27           28           29           30 
##  0.371068547  0.732787800 -0.639820754 -0.566747963 -1.700597033 
##           31           32           33           34           35 
## -1.033284431 -0.154628958 -1.053381702 -0.971476902  0.385652150 
##           36           37           38           39           40 
## -0.216268633  0.254455887 -0.023283292 -0.654700858 -0.626884462 
##           41           42           43           44           45 
##  0.303605562  1.854179599  2.048267971  1.854179599  1.983084868 
##           46           47           48           49           50 
##  1.988292050  2.290805113  1.071455572  0.671745254  0.669836930 
##           51           52           53           54           55 
##  0.522057528  0.477040832  0.681663958  1.887886755  1.941836750 
##           56           57           58           59           60 
##  2.307414083  1.402649654  1.443734491  2.148520899  1.429208765 
##           61           62           63           64           65 
## -0.879201522 -0.524209507 -0.794048702 -0.097873788 -0.005412631 
##           66           67           68           69           70 
##  0.051424137 -1.654282311 -1.505287431 -1.600225740 -0.722677147 
##           71           72           73           74           75 
## -0.035606652 -0.390722855 -0.822922444  0.118135916 -0.371916931 
##           76           77           78           79           80 
## -0.207952938 -0.162631851 -0.563904190 -0.704579191 -0.354185191 
##           81           82           83           84           85 
## -0.663217419  2.759653356  2.331117895  1.594247060 -0.736801543 
##           86           87           88           89           90 
## -0.730103238 -0.736801543 -0.743499986 -0.730103238 -0.722626124 
##           91           92           93           94           95 
## -0.730103238 -0.678008842 -0.639825477 -0.466552416 -0.626409954 
##           96           97           98           99          100 
##  1.537480290  1.608287983  1.798591796  0.295845997  0.275742675 
##          101          102          103          104          105 
##  0.342755742 -0.120353849  1.180300475  2.595238022  2.269952220 
##          106          107          108          109          110 
##  1.159596056  1.318478160  1.092421740  1.305840039  0.945810635 
##          111          112          113          114          115 
##  3.327188787  0.363264462 -0.699863866 -0.441913885 -0.849582989 
##          116          117          118          119          120 
## -0.321807341 -0.294238518 -0.144536508 -0.162268017 -0.290303249 
##          121          122          123          124          125 
## -0.236722967 -0.290303249 -0.703572148 -1.106348604 -0.443996135 
##          126          127          128          129          130 
## -0.589577419 -0.422653127  0.003815904 -0.757303975 -0.434068668 
##          131          132          133          134          135 
## -0.853618829  0.420381583  0.447084951 -1.217970591 -1.330860979 
##          136          137          138          139          140 
## -1.324146828 -1.304005854 -1.330860979 -1.154046661 -1.085812346 
##          141          142          143          144          145 
## -1.071606152 -1.135081831 -1.155206222 -1.155206222 -1.135081831 
##          146          147          148          149          150 
## -1.317668891 -0.436081534 -0.715883219 -0.640940506 -0.343719506 
##          151          152          153          154          155 
## -1.352917682 -1.460006041  0.638022544 -0.009146373 -0.175306854 
##          156          157          158          159          160 
## -0.859014341  0.414380445 -1.572717156 -1.539782155  1.382045939 
##          161          162          163          164          165 
##  2.705536055  1.388234181  1.401686182  1.320989610  1.643249389 
##          166          167          168          169          170 
##  1.396330353  1.556462418  1.301414183  1.462998166  1.610471540 
##          171          172          173          174          175 
##  1.269545876  0.973230068  0.716751529  0.799552714  1.570596178 
##          176          177          178          179          180 
##  0.672911309  0.680018651  1.793410726 -1.269606962 -1.053796575 
##          181          182          183          184          185 
## -1.180552316 -0.528978865 -0.513248508 -1.529652531 -1.770704876 
##          186          187          188          189          190 
## -0.737280971 -0.643539168 -0.558086903 -0.716404079 -0.717191291 
##          191          192          193          194          195 
##  0.806825596  1.839795876  1.093971066 -1.465620493 -1.399959459 
##          196          197          198          199          200 
## -1.315616618 -1.328293887  1.064529636  1.476654447 -0.269306420 
##          201          202          203          204          205 
##  0.123780943  0.351020548 -0.477669747 -0.817502193 -0.756395546 
##          206          207          208          209          210 
## -1.245920656 -0.211538695 -0.464561769 -0.179968330 -0.166568255 
##          211          212          213          214          215 
## -0.851564240  0.142742309  0.480064612  0.016521772  0.736521005 
##          216          217          218          219          220 
##  1.157130528  0.578989652  0.937474399  0.978469895  0.517968474 
##          221          222          223          224          225 
##  1.210795650  1.298821337  1.205663058  0.905545469  0.970981023 
##          226          227          228          229          230 
##  0.584897786  0.517968474  0.551431846  0.938261194 -0.362583964 
##          231          232          233          234          235 
## -0.355280480 -0.123692353  2.520220143  0.461967274 -0.207587310 
##          236          237          238          239          240 
## -0.146544246 -0.189860668 -0.189860668 -0.189860668 -0.195769652 
##          241          242          243          244          245 
## -0.195769652 -0.195769652 -0.195769652  1.162370908 -0.086940408 
##          246          247          248          249          250 
##  2.269148383  0.286685810 -0.228566606 -0.038794024 -0.043163929 
##          251          252          253          254          255 
## -0.127157518 -0.390769668 -0.607528277  0.651799075 -0.103478226 
##          256          257          258          259          260 
## -0.599070975 -1.198324096  0.822113766 -1.245052517 -0.678217992 
##          261          262          263          264          265 
## -0.544294313 -0.599436100 -0.532480791 -0.605343255 -0.411590134 
##          266          267          268          269          270 
## -0.229308246  2.093814943 -0.304643972 -1.664900833 -1.737484959 
##          271          272          273          274          275 
## -0.260669700 -1.775407728 -0.745198181 -0.475391965 -0.739668032 
##          276          277          278          279          280 
## -0.712876210 -0.791677963 -0.804286522 -0.706968069 -0.786559080 
##          281          282          283          284          285 
## -0.852251574 -0.491606805  1.948461762 -0.544341379 -1.596081114 
##          286          287          288          289          290 
## -0.733749452 -0.434976820 -2.032339509 -0.296056272 -0.017347523 
##          291          292          293          294          295 
## -0.604950992  1.014820156  0.875637380 -1.967175180 -0.270615359 
##          296          297          298          299          300 
## -0.709762990 -0.351133919 -0.219691874 -1.251200484 -1.224360951 
##          301          302          303          304          305 
## -1.196848459 -0.373001193 -0.345441916 -0.264708018  0.053041392 
##          306          307          308          309          310 
## -0.518694136 -0.518694136 -0.727431139 -0.103233413  0.004960658 
##          311          312          313          314          315 
##  0.039206218 -0.038330506 -0.336774893  0.575677864  0.454395977 
##          316          317          318          319          320 
##  0.614293346  0.453615535 -1.838392813  0.786408840  0.786408840 
##          321          322          323          324          325 
##  0.675982332  0.689375369  1.474128810  1.514472917 -0.350983954 
##          326          327          328          329          330 
## -0.585642743 -0.421040697  0.299338860  0.163497818  0.143423634 
##          331          332          333          334          335 
##  0.164364971  1.450035919 -0.059117569 -0.530527210 -1.009149061 
##          336          337          338          339          340 
##  0.258062708  1.338307461 -0.626284457  1.839374008 -0.816124106 
##          341          342          343          344          345 
## -0.118943935 -0.230423138 -0.242756461 -0.260755459 -0.297388288 
##          346          347          348          349          350 
## -0.394674000 -0.321807341 -0.403737172 -0.270603391 -1.309251290 
##          351          352          353          354          355 
## -1.557893910 -2.050041209 -1.449764392  1.769361867  1.365548461 
##          356          357          358          359          360 
##  0.733002994 -0.004989512  0.145478306 -1.279612073 -0.707779164 
##          361          362          363          364          365 
## -0.546154517 -0.842275835  0.092471024  0.256040926  0.879100678 
##          366          367          368          369          370 
##  1.427640781 -1.109560889  1.826846781 -1.116343843  0.080352431 
##          371          372          373          374          375 
##  0.045156315 -0.441711149 -0.524087021 -0.490584292  0.430249209 
##          376          377          378          379          380 
## -0.785722238  0.990998032  1.145629927  0.415685723  0.574976026 
##          381          382          383          384          385 
##  0.362069976 -0.490584292 -0.490584292 -0.490584292 -0.490584292 
##          386          387          388          389          390 
##  0.319063167  0.786380055 -0.725488016 -0.824808892 -0.289598707 
##          391          392          393          394          395 
## -0.751395409 -1.044904864 -0.653785136 -0.627763382 -0.641171697 
##          396          397          398          399          400 
## -0.514780228 -0.174039467 -0.167343498 -1.374763532 -0.488663238 
##          401          402          403          404          405 
## -0.708220661  2.473652614 -1.099397242  0.458096367 -1.449308705 
##          406          407          408          409          410 
## -1.234436141 -1.183104394 -1.141621402 -1.135696460 -1.062716270 
##          411          412          413          414          415 
## -1.147546640 -0.632900965  0.154442895 -0.947492832 -0.673709136 
##          416          417          418          419          420 
## -0.508898478 -0.581747451  0.474146478 -0.224238730  2.840784938 
##          421          422          423          424          425 
##  0.761511161  0.619899648 -0.593528987 -0.770079631 -0.620715452 
##          426          427          428          429          430 
##  0.598872250 -0.022423712  0.988917479  0.007788337 -0.630135658 
##          431          432          433          434          435 
## -0.433261041  0.814119256 -0.563993968 -0.338127995 -0.184405512 
##          436          437          438          439          440 
## -1.366453703 -0.392902167 -0.682506543 -0.101291073 -0.830245015 
##          441          442          443          444          445 
##  2.254010401  1.723021567 -0.682208547  0.376152678  0.726827001 
##          446          447          448          449          450 
## -1.182784811 -0.733366883 -0.812255431 -0.846529714 -0.270603391 
##          451          452          453          454          455 
## -0.666402588 -0.258785259 -0.337574653 -0.705969028 -0.257997501 
##          456          457          458          459          460 
## -0.941622771 -0.241057297 -0.355280480 -0.428137476 -0.538404614 
##          461          462          463          464          465 
## -0.241057297 -1.392563018 -0.798936857  0.913721964  1.280099585 
##          466          467          468          469          470 
##  0.641721751  0.936205111  0.723161458  0.901858289  1.150771827 
##          471          472          473          474          475 
##  1.455353025  0.799754795  0.866789379  0.944068654  0.695268292 
##          476          477          478          479          480 
## -0.256000177  1.089818638  1.019663477  1.374930523 -0.314035824 
##          481          482          483          484          485 
##  0.022432294 -0.184623828  1.151040150 -1.123847453 -1.410423112 
##          486          487          488          489          490 
## -1.602485702 -1.285539296 -1.015530605 -0.697888095 -0.896866514 
##          491          492          493          494          495 
##  1.513232801  1.497856357  1.315805280  0.217031720  0.364403797 
##          496          497          498          499          500 
## -0.743813663  1.208462398  1.130310887  1.425020875  2.413643100 
##          501          502          503          504          505 
## -0.539450104 -0.550810409 -0.678718126  2.974721602  0.245819235 
##          506          507          508          509          510 
##  1.923689624  0.323781736  0.288328197 -0.115038300  0.261538412 
##          511          512          513          514          515 
##  0.108671166  0.421501311 -0.781177452 -0.472039616 -0.664615624 
##          516          517          518          519          520 
## -0.593718945 -0.603518226 -0.535732917 -0.529952249 -0.603518226 
##          521          522          523          524          525 
## -0.609426024 -0.524043205  0.669626275  0.754348896 -0.161200554 
##          526          527          528          529          530 
## -1.567682630  1.148603861  1.734326146 -1.063429557  0.216618898 
##          531          532          533          534          535 
## -0.185459353  0.482525362  0.607712748  0.702227842  0.628581574 
##          536          537          538          539          540 
##  0.502192322  0.502192322  0.702227842  0.689622997  0.435271996 
##          541          542          543          544          545 
##  0.435271996  0.641970701  0.575815535  0.807804174  0.575029650 
##          546          547          548          549          550 
##  0.696318650  0.838937889  0.151878159  1.272500926  1.239732706 
##          551          552          553          554          555 
##  1.393340075  0.821415028  1.229821167  1.286811262  0.346680811 
##          556          557          558          559          560 
##  1.182924944  1.280882286  1.498269246  0.957415017  1.399271185 
##          561          562          563          564          565 
##  1.144958431  0.762984636  0.823259600  0.951495866  1.810849056 
##          566          567          568          569          570 
##  0.680188905  0.520323655  0.499461527  0.512061080  0.671136747 
##          571          572          573          574          575 
##  0.512061080  0.805848643 -0.267831442  1.397334691  1.318806236 
##          576          577          578          579          580 
##  0.092037469  3.506433106  5.037184322  0.398324250  0.310279934 
##          581          582          583          584          585 
##  0.383938561  0.458384662  0.458384662  0.444211081  0.390635204 
##          586          587          588          589          590 
##  0.438292841  0.464303368  0.377241989  0.390635204  0.371325231 
##          591          592          593          594          595 
##  0.438292841  0.476920082  0.470222322  0.263858854  0.311513743 
##          596          597          598          599          600 
##  0.310279934  0.192889015 -0.597505805 -0.230560083 -0.398036377 
##          601          602          603          604          605 
## -0.189910147 -0.236762062 -0.189910147 -0.690009407 -0.479324331 
##          606          607          608          609          610 
## -0.374576859 -0.420261491 -0.565948464 -0.493100000 -0.426167668 
##          611          612          613          614          615 
## -0.539170488 -0.432073862 -0.562014836 -0.556107960 -0.573828704 
##          616          617          618          619          620 
## -0.523421431 -0.600610743 -0.567921750 -0.602187999 -0.556107960 
##          621          622          623          624          625 
## -0.562014836 -0.602187999 -0.634879734 -0.567921750 -0.634879734 
##          626          627          628          629          630 
## -0.516761391 -0.581702439 -0.581702439 -0.664417598 -0.590761540 
##          631          632          633          634          635 
## -0.664417598  2.359850104  2.282624926  1.871638235 -0.234808597 
##          636          637          638          639          640 
##  0.333695938  0.310279934 -0.245000874 -0.124924882 -0.412455795 
##          641          642          643          644          645 
## -1.211366968 -1.031499495 -0.992052809 -0.908227001 -1.378595873 
##          646          647          648          649          650 
## -1.289846937 -0.974641536 -1.155983733 -0.190284675 -1.682319311 
##          651          652          653          654          655 
## -1.512011717 -1.444245599  0.277206281  0.248177858 -0.459958711 
##          656          657          658          659          660 
##  0.008941531  0.075874364  0.019848649 -1.139952247 -1.233195420 
##          661          662          663          664          665 
## -1.386351090 -0.235170275 -1.740712135 -1.206468180 -0.859054680 
##          666          667          668          669          670 
## -1.898116996 -0.142584788 -1.010450216 -0.439942584 -1.043945560 
##          671          672          673          674          675 
## -1.078253198 -1.017132297 -2.244542237 -2.291199119 -1.520454475 
##          676          677          678          679          680 
## -0.499040508  0.075728230 -1.946496289 -1.919531540 -1.674339628 
##          681          682          683          684          685 
## -1.674339628 -0.643229261 -0.564454446 -0.564454446 -0.501718393 
##          686          687          688          689          690 
##  0.356885393  0.331507673  0.378339196  1.023019830  1.183232670 
##          691          692          693          694          695 
##  1.837645693  1.219259313  1.095304549  1.202614708 -0.420622284 
##          696          697          698          699          700 
## -0.789044531 -0.857304239 -0.589270610 -1.019177099  0.226076740 
##          701          702          703          704          705 
##  0.145330822  0.047241524 -0.005545544  0.251690021 -0.043302698 
##          706          707          708          709          710 
## -0.043302698  0.163466471 -0.839667546 -0.952340725 -0.913698298 
##          711          712          713          714          715 
## -0.933018689  0.777586254  0.760632092  0.888677304  0.841785132 
##          716          717          718          719          720 
##  0.894592379  0.768112810  0.713759906  0.774809552  0.938356144 
##          721          722          723          724 
##  0.841000816  0.826820305  0.779938172 -0.915823118
bptest(model)$p.value
##           BP 
## 1.787605e-07
gqtest(model)$p.value
## [1] 0.91463
hmctest(model)$p.value
## [1] 0.917
dwtest(model)$p.value
## [1] 1.409444e-49
bgtest(model)$p.value
## [1] 1.051843e-47
harvtest(model)$p.value
##        HC 
## 0.1425167
raintest(model)$p.value
## [1] 0.0002308877
resettest(model)$p.value
## [1] 0.02781071
shapiro.test(genomes$GC)
## 
##  Shapiro-Wilk normality test
## 
## data:  genomes$GC
## W = 0.95902, p-value = 2.444e-13
shapiro.test(genomes$size)
## 
##  Shapiro-Wilk normality test
## 
## data:  genomes$size
## W = 0.94757, p-value = 2.434e-15